The Pendulum of Dynamic Interactions

Lacunza, Julio Cano

doi:10.4236/jamp.2015.39146

Cited by 5 publications

(3 citation statements)

References 9 publications

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“…Trajectory I predicted by classical mechanics and trajectory II deduced by means of the Theory of Dynamic Interactions (TDI). We have observed and confirmed the second case repeatedly by experiments [6]. say anything and it does not relate to rotation cases.…”

Section: Incoherences: Identification Of Errorssupporting

confidence: 79%

“…He understood, however, the need for empirical checks to confirm or rectify the new dynamic hypotheses deduced from the aforementioned principle and, where appropriate, to be able to explain that behaviour by formulating a new dynamic theory that would simultaneously resolve other Rotational Dynamics phenomena and generalize inertial phenomena [6].…”

Section: Matching Orbiting and Rotation Movementsmentioning

confidence: 99%

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A New Celestial Mechanics Dynamics of Accelerated Systems

Barceló¹

2019

JAMP

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We present in this text the research carried out on the dynamic behavior of non-inertial systems, proposing new keys to better understand the mechanics of the universe. Applying the field theory to the dynamic magnitudes circumscribed to a body, our research has achieved a new conception of the coupling of these magnitudes, to better understand the behavior of solid rigid bodies, when subjected to multiple simultaneous, non-coaxial rotations. The results of the research are consistent with Einstein's theories on rotation; however, we propose a different mechanics and complementary to classical mechanics, specifically for systems accelerated by rotations. These new concepts define the Theory of Dynamic Interactions (TDI), a new dynamic model for non-inertial systems with axial symmetry, which is based on the principles of conservation of measurable quantities: the notion of quantity, total mass and total energy. This theory deduces a general equation of motion for bodies endowed with angular momentum, when they are subjected to successive non-coaxial torques.

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Section: Incoherences: Identification Of Errorssupporting

confidence: 79%

Section: Matching Orbiting and Rotation Movementsmentioning

confidence: 99%

A New Celestial Mechanics Dynamics of Accelerated Systems

Barceló¹

2019

JAMP

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“…In a different approach to studying the conical pendulum, dimensional analysis has been applied to the motion of an ellipsing pendulum undergo ing small amplitude oscillations about the posi tion of stable equilibrium, where the precession of the pendulum mass along the rotational direc tion of motion was examined in detail [11]. The rotational acceleration has been studied [12] and the conical pendulum has also been utilized as a model for gyroscopic elliptical motion [13].…”

Section: Pythagorean Triangles Analysis Of the Conical Pendulum Based...mentioning

confidence: 99%

Pythagorean triangles analysis of the conical pendulum based on lengths, forces and times, to obtain equations for the principal physical parameters

Dean

Demir

2019

Phys. Educ.

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An original approach using three appropriate Pythagorean triangles is presented for the detailed mathematical analysis of an ideal conical pendulum. The triangles that are used in this analysis relate specifically to the physical dimensions of the conical pendulum, the magnitudes of the forces acting during the conical pendulum motion and a triangular construction involving the conical pendulum period. It is assumed that known values for the conical pendulum mass, local value for the acceleration due to gravity and the conical pendulum string length are readily available. The following physical parameters can then be calculated directly from accurate experimental measurements of the conical pendulum period only: string tension force, centripetal force (and consequently the centripetal acceleration), orbital radius, orbital speed, apex angle, magnitude of the angular momentum, potential and kinetic energies. The analysis concludes with the very straightforward derivation of a wellknown simple trigonometric identity, which serves to support the internal selfconsistency of the Pythagorean triangles technique that is presented here.

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Identification of the center of mass of a conical pendulum by the study and analysis of video images

Gonçalves¹,

Carvalho²

2019

Phys. Educ.

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The conical pendulum is a topic theoretically approached in physics literature, but with little experimental activity developed due to the difficulty of reproducing the conical motion in ideal experimental conditions. This work consisted of studying the motion of a rigid conical pendulum using video analysis. The experimental results were used as the basis to fit a theoretical model that allowed us to find the position of the center of mass of the pendulum.

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The Pendulum of Dynamic Interactions

Cited by 5 publications

References 9 publications

A New Celestial Mechanics Dynamics of Accelerated Systems

A New Celestial Mechanics Dynamics of Accelerated Systems

Pythagorean triangles analysis of the conical pendulum based on lengths, forces and times, to obtain equations for the principal physical parameters

Identification of the center of mass of a conical pendulum by the study and analysis of video images

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